I rushed towards her and embraced her with ardour, but the deadly languor and coldness of the limbs told me that what I now held in my arms had ceased to be the Elizabeth whom I had loved and cherished.
Victor doesn't associate body with soul. Her body doesn't make up who she is/was. It's interesting that he thought he could bring a body back to working order and not think about the soul that would come back with it, when he created the Creature. Also it's interesting that later in the text when Victor is on his death bed he seems to have a dualist perspective. He mentions getting to see his loved ones again (including Elizabeth), so perhaps he seems to have less attachment to the actual body. He kinda just leaves it there... right?